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Chebyshev and Fourier Spectral Methods: Second Revised Edition (Dover Books on Mathematics) Paperback – December 3, 2001

ISBN-13: 978-0486411835 ISBN-10: 0486411834 Edition: Second Edition, Revised

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Product Details

  • Series: Dover Books on Mathematics
  • Paperback: 688 pages
  • Publisher: Dover Publications; Second Edition, Revised edition (December 3, 2001)
  • Language: English
  • ISBN-10: 0486411834
  • ISBN-13: 978-0486411835
  • Product Dimensions: 9.2 x 6.6 x 1.3 inches
  • Shipping Weight: 2 pounds (View shipping rates and policies)
  • Average Customer Review: 4.8 out of 5 stars  See all reviews (4 customer reviews)
  • Amazon Best Sellers Rank: #863,914 in Books (See Top 100 in Books)

Customer Reviews

4.8 out of 5 stars
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Most Helpful Customer Reviews

24 of 26 people found the following review helpful By A Customer on July 19, 2004
Format: Paperback
Prof. Boyd's book is god-sent,
I discovered it during a self-embarked journey in the blooming world of spectral methods. Unfortunately,
these very potent and promising techniques have only recently
escaped the confines of the field of Applied Mathematics where
they were first developed. Thus, most existing literature is too
mathematically oriented and rather opaque to the engineer and
applied scientist, as it does not offer them the basic
operational knowledge that they would require. This book is
one of the first to overcome this chasm. It provides
a survey of all the necessary fundamentals for the application
of spectral methods to various disciplines of computational
engineering but also delves deep into various advanced topics.
At the same time it provides one with sufficient ammunition
to explore, otherwise intimidating, more theoretically-oriented
texts. The text, reflecting the author's extensive knowledge
on the subject, has an unusually flowing writing style to it
and throughout it are interspersed some quite entertaining
snippets of the author's humor.
I recommend this book to all students of spectral methods, regardless
of level of expertise.
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10 of 10 people found the following review helpful By John Lipp on August 17, 2006
Format: Paperback Verified Purchase
Spectral methods, as presented by Boyd, are techniques for numerically solving differential equations. His book is a collection of A LOT of practical information presented mostly through a mathematical frame work. Practical means different things to different people; in Boyd's case, he discusses the details of what happens in putting the mathematics to use (the pitfalls), and when each technique should be used. Supporting numerical methods, such as matrix techniques, are discussed where needed. Example computer code is scarce. Worked examples are inconsistently used, and sometimes abstract.

As a novice to the field, I found the level of presentation a notch too high to be able to put it to use. It was more abstract than applied. I'm not saying it is not informative, only that this is not a good first book on the topic. I might get this as a second or third book.

I give it 4 starts due to two complaints. There are not a lot of illustrations, and moreover those that are included are often too simple or need more annotation. A little more thought should go into them, and there should be a more of them for some of the more abstract topics. Additional thought should go into the organization too. Information at different levels of expertise are scattered throughout so you either (a) need to know the answers already, (b) skip ahead several chapters, or (c) go on an aside in another text.
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Format: Paperback Verified Purchase
This book is not just an excellent book on spectral methods, but it is simply one of the best numerical methods books ever! The author explains many of the conceptual aspects very well. The material discussed in the book gives a very good perspective to anyone who is interested in applied numerical methods for differential equations. Different aspects of numerical methods are discussed much more deeply than any other numerical book. Although the book is mainly a spectral methods book, it can be valuable to anyone who wants to know numerical techniques more deeply.
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By Stuart I Benton on April 17, 2013
Format: Paperback Verified Purchase
I'm from a different field but wanted to use some of these techniques to perform calculations for my project. It was easy to pick up and is written from a practical perspective. Seems like it will be a great resource for the future as well!
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Chebyshev and Fourier Spectral Methods: Second Revised Edition (Dover Books on Mathematics)
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